document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=282221>Question 282221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of the function: g(x)=1/10-7x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204926 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathematicians><B>Mathematicians(84)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathematicians><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Mathematicians><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=204926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The domain of a rational function is when the denominator can't be 0:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=1%2F%2810-7x%29 ALIGN=MIDDLE  ALT=\"g%28x%29=1%2F%2810-7x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so if we set the denominator equal to 0, we can see which values do not work:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-7x+=+0 ALIGN=MIDDLE  ALT=\"10-7x+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >(subtract 10 on both sides)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7x+=+-10 ALIGN=MIDDLE  ALT=\"-7x+=+-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >(divide -7 on both sides)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10%2F7 ALIGN=MIDDLE  ALT=\"x+=+10%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "so the domain can be anything but 10/7 because that is when the denominator is 0.\r<BR>\n" );
document.write( "\n" );
document.write( "In interval notation: (-inf,10/7)U(10/7,inf) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );